Question

what is the lowest frequency that will produce constructive interference at your location?

<Ch14-HW Problem 14.57 A pair of in-phase stereo speakers is placed side by side, 0.714 m apart. You stand directly in front of one of the speakers, 2.74 m from the speaker.

Answer 1

Here,

for the path difference

path difference = distance from far speaker - distance from near speaker

path difference = sqrt(0.714^2 + 2.74^2) - 2.74

path difference = 0.0915 m

Now, for the constructive interference

the path difference = wavelength for the longest wavelength

wavelength = 0.0915 m

frequency of sound = speed of sound/wavelength

frequency of sound = 343/0.0915

frequency of sound = 3748 Hz

the lowest frequency of sound is 3748 Hz